On the canonical module of the Rees algebra and the associated graded ring of an ideal

DOI10.1016/0021-8693(87)90194-3zbMath0613.13007OpenAlexW2068360755MaRDI QIDQ1088734

Jürgen Herzog, Aaron Simis, Vasconcelos, Wolmer V.

Publication date: 1987

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90194-3

zbMATH Keywords

Gorenstein ringassociated graded ringcanonical modulelocal Cohen-Macaulay ringextended Rees algebrad-sequence

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

On ideals of minors fixing a submatrix, The \(S_ 2\)-closure of a Rees algebra, Tangent cones at curve and surface singularities, The canonical module of an associated graded ring, Symbolic powers, Serre conditions and Cohen-Macaulay Rees algebras, Cohen-Macaulay Rees algebras and degrees of polynomial relations, Cohen-Macaulay properties of the Koszul homology, Blow-up of Straightening-Closed Ideals in Ordinal Hodge Algebras, Extremal Rees algebras, On Rees algebras with a Gorenstein Veronese subring, Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023, Gorensteinness in Rees algebras of powers of parameter ideals, Canonical modules and class groups of Rees-like algebras, On the structure of Noetherian symbolic Rees algebras, Coefficient ideals and the Cohen-Macaulay property of Rees algebras, The Dilworth number of Artin Gorenstein rings, The bi-canonical degree of a Cohen-Macaulay ring, Hilbert coefficients and the Gorenstein property of the associated graded ring., Arithmetic of normal Rees algebras, Reduction Numbers and Rees Algebras of Powers of an Ideal, If the socle fits, Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers, On the recurrent property of canonical modules of rees rings, Cohen-Macaulay and Gorenstein property of Rees algebras of non-singular equimultiple prime ideals, The divisor class group of ordinary and symbolic blow-ups, On the depth of the canonical modules of graded rings associated to an ideal, Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped resolution, Algebras of minors, Unnamed Item, Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems, Embeddings of certain graded rings into their canonical modules, Unnamed Item, Canonical modules of Rees algebras, Gorenstein graded rings associated to ideals, Gorenstein associated graded rings of analytic deviation two ideals., On the Cohen-Macaulay and Gorenstein properties of multigraded Rees algebras, An improved Briançon-Skoda theorem with applications to the Cohen- Macaulayness of Rees algebras, On the Gorenstein property of form rings

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